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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_03
              \\February 16, 2024 2:20 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                3.  Zero is a multiple of every non-zero number.
                    examples: 3 × 0 = 0, 5 × 0 = 0, 72 × 0 = 0, etc.
                                                                                                   FACTS
                4.  Every multiple of a given number is greater than or equal              If a number is a multiple
                    to the number.                                                         of a given number, the
                    examples: Multiples of 3 are 3, 6, 9, 12, ...                          number will be completely
                5.  There are infinite number of multiples of a number.                    divisible by given number.

                    examples: Multiple of 5 are 5, 10, 15, 20, 25, 30, ... and so on.
                6.  The smallest multiple of a number is the number itself.
                7.  The multiples of an even number are always an even number.

                    examples: (a) Multiples of 2 are 2, 4, 6, 8, 10, … which are even numbers.
                                (b) Multiples of 8 are 8, 16, 24, 32, … which are even numbers
                8.  The multiples of an odd number are alternatively an odd and even numbers.

                    examples: Multiples of 3 are 3, 6, 9, 12, 15, …, where, 6, 12, … are even numbers and
                    3, 9, 15, … are odd numbers.



                       Think and Answer
                    How many multiples of 13 are there between  100 and 200?


                       Practice time 3B



                1.  Fill in the blanks.
                    (a)  _________ is the smallest multiple of 7.
                    (b)  Multiples of an even number is a/an ________ number.

                    (c)  Every number is a multiple of ________ and ________.
                    (d)  ______ is the multiple of every non-zero number.
                    (e)  There are __________ multiples of 10 between 1 and 100.
                2.  Find the first five multiples of:

                    (a)  11              (b)  13              (c)  18             (d) 24               (e)  75
                3.  Find:
                                                                                 th
                              th
                    (a)  the 8  multiple of 48.                      (b)  the 10  multiple of 50.
                                th
                    (c)  the 12  multiple of 96.                     (d)  the first five even multiples of 9.
                    (e)  the first five odd multiples of 11.
                4.  Find the multiples of:
                    (a)  11 less than 200.                           (b)  25 between 100 and 220.
                    (c)  19 between 140 and 160.                     (d)  15 which are 2-digit numbers.

                5.  Check the following.
                    (a)  Is 238 a multiple of 8?                     (b)  Is 196 a multiple of 16?
                    (c)  Is 386 a multiple of 9?                     (d)  Is 1440 a multiple of 12?


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